Question

Prove that $\left\begin{vmatrix}x &x^{2} &1+px^{3} \\y&y^{2}&1+py^{3} \\z&z^{2} &1+pz^{3} \end{vmatrix}\right=(1-pxyz)(x-y)(y-z)(z-x)$ where p is any scalar.

Answer 1

Answer:

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